Cremona's table of elliptic curves

6630 = 2 · 3 · 5 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
6630a (1 curve)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+  0  3 13+ 17+ -3
Curve Equation t Generators 6630a1 [1,1,0,312,307008] 1 [11:553:1]
6630b (1 curve)	1	2+ 3+ 5+ 13+ 17+	2+ 3+ 5+  2 -1 13+ 17+ -5
Curve Equation t Generators 6630b1 [1,1,0,32,-128] 1 [3:1:1]
6630c (4 curves)	2	2+ 3+ 5+ 13+ 17-	2+ 3+ 5+ -4 -4 13+ 17- -4
Curve Equation t Generators 6630c1 [1,1,0,-208,1072] 2 [-8:52:1]&[4:16:1] 6630c2 [1,1,0,-228,828] 4 [-14:46:1]&[-13:49:1] 6630c3 [1,1,0,-1398,-19998] 2 [-23:37:1]&[-21:36:1] 6630c4 [1,1,0,622,6438] 2 [-3:69:1]&[11:116:1]
6630d (4 curves)	0	2+ 3+ 5+ 13- 17+	2+ 3+ 5+  0 -4 13- 17+ -4
Curve Equation t 6630d1 [1,1,0,-1813,-2874083] 2 6630d2 [1,1,0,-314313,-67061583] 4 6630d3 [1,1,0,-5010563,-4319046333] 2 6630d4 [1,1,0,-618063,83173167] 2
6630e (4 curves)	2	2+ 3+ 5- 13+ 17+	2+ 3+ 5- -4 -4 13+ 17+ -8
Curve Equation t Generators 6630e1 [1,1,0,-587,5229] 2 [-11:108:1]&[-2:81:1] 6630e2 [1,1,0,-767,1521] 4 [-25:89:1]&[-23:99:1] 6630e3 [1,1,0,-7397,-246441] 2 [-51:63:1]&[-47:36:1] 6630e4 [1,1,0,2983,15771] 2 [7:189:1]&[37:404:1]
6630f (2 curves)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5-  0  2 13- 17+ -4
Curve Equation t Generators 6630f1 [1,1,0,-447687,-115480971] 2 [-387:216:1] 6630f2 [1,1,0,-439367,-119968779] 2 [1277:36824:1]
6630g (1 curve)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5-  0 -3 13- 17+  1
Curve Equation t Generators 6630g1 [1,1,0,-17,51] 1 [-5:9:1]
6630h (1 curve)	1	2+ 3+ 5- 13- 17+	2+ 3+ 5- -2  5 13- 17+ -1
Curve Equation t Generators 6630h1 [1,1,0,3823,-38259] 1 [157:2034:1]
6630i (1 curve)	1	2+ 3- 5+ 13+ 17-	2+ 3- 5+  4 -5 13+ 17- -1
Curve Equation t Generators 6630i1 [1,0,1,104881,10086626] 1 [-54:2092:1]
6630j (4 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  0  0 13- 17+  4
Curve Equation t Generators 6630j1 [1,0,1,2736,-84194] 2 [41:291:1] 6630j2 [1,0,1,-20384,-898018] 4 [-99:439:1] 6630j3 [1,0,1,-307684,-65712898] 2 [-320:218:1] 6630j4 [1,0,1,-103004,11924606] 2 [771:-20159:1]
6630k (4 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+  2  0 13- 17+  2
Curve Equation t Generators 6630k1 [1,0,1,-2919,-2918] 6 [-50:161:1] 6630k2 [1,0,1,11661,-20414] 6 [5:192:1] 6630k3 [1,0,1,-166134,-26077304] 2 [322595:8582211:343] 6630k4 [1,0,1,-163254,-27024248] 2 [629:10605:1]
6630l (2 curves)	1	2+ 3- 5+ 13- 17+	2+ 3- 5+ -4  2 13- 17+ -4
Curve Equation t Generators 6630l1 [1,0,1,-709,7196] 2 [28:-112:1] 6630l2 [1,0,1,-579,9952] 2 [8:72:1]
6630m (2 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5-  2 -3 13- 17- -7
Curve Equation t Generators 6630m1 [1,0,1,-293,-2194] 3 [20:-3:1] 6630m2 [1,0,1,-24518,-1479664] 1 [1486:4209:8]
6630n (2 curves)	1	2+ 3- 5- 13- 17-	2+ 3- 5- -2  0 13- 17-  6
Curve Equation t Generators 6630n1 [1,0,1,-468,-2942] 2 [-16:30:1] 6630n2 [1,0,1,1152,-18494] 2 [95:-1023:1]
6630o (1 curve)	1	2+ 3- 5- 13- 17-	2+ 3- 5- -2 -3 13- 17- -3
Curve Equation t Generators 6630o1 [1,0,1,-91053318,334412276056] 1 [5120:46872:1]
6630p (1 curve)	1	2- 3+ 5+ 13+ 17-	2- 3+ 5+  2 -1 13+ 17- -1
Curve Equation t Generators 6630p1 [1,1,1,-4161,255423] 1 [-21:588:1]
6630q (2 curves)	1	2- 3+ 5- 13+ 17+	2- 3+ 5- -2  0 13+ 17+  2
Curve Equation t Generators 6630q1 [1,1,1,-13620,599157] 2 [-3:801:1] 6630q2 [1,1,1,-2100,1594485] 2 [283:-5017:1]
6630r (4 curves)	0	2- 3+ 5- 13+ 17-	2- 3+ 5-  4  4 13+ 17-  4
Curve Equation t 6630r1 [1,1,1,935,9047] 4 6630r2 [1,1,1,-4845,76095] 4 6630r3 [1,1,1,-33575,-2325733] 2 6630r4 [1,1,1,-68595,6884595] 2
6630s (4 curves)	0	2- 3+ 5- 13- 17+	2- 3+ 5-  4 -4 13- 17+  8
Curve Equation t 6630s1 [1,1,1,1580,4757] 4 6630s2 [1,1,1,-6420,30357] 4 6630s3 [1,1,1,-64220,-6258283] 2 6630s4 [1,1,1,-76620,8117397] 2
6630t (4 curves)	1	2- 3+ 5- 13- 17-	2- 3+ 5- -4 -4 13- 17-  8
Curve Equation t Generators 6630t1 [1,1,1,-3230,37595] 4 [-51:295:1] 6630t2 [1,1,1,-23710,-1387813] 4 [-95:183:1] 6630t3 [1,1,1,-377310,-89363493] 2 [-355:183:1] 6630t4 [1,1,1,2210,-4228645] 4 [173:1083:1]
6630u (1 curve)	1	2- 3+ 5- 13- 17-	2- 3+ 5- -4  5 13- 17- -7
Curve Equation t Generators 6630u1 [1,1,1,-1410,19815] 1 [3:123:1]
6630v (1 curve)	1	2- 3- 5+ 13+ 17+	2- 3- 5+ -2 -1 13+ 17+  1
Curve Equation t Generators 6630v1 [1,0,0,-241,1481] 1 [8:5:1]
6630w (8 curves)	1	2- 3- 5+ 13- 17-	2- 3- 5+ -4  0 13- 17- -4
Curve Equation t Generators 6630w1 [1,0,0,-2096146,1124611076] 12 [-1636:14078:1] 6630w2 [1,0,0,-5557266,-3547208700] 12 [-1422:39186:1] 6630w3 [1,0,0,-25792786,-50092914940] 4 [-2852:17926:1] 6630w4 [1,0,0,-81373266,-282504599100] 6 [-5166:5490:1] 6630w5 [1,0,0,14880814,-23572439484] 6 [8710:871336:1] 6630w6 [1,0,0,-411937506,-3218101426764] 4 [29934:3342618:1] 6630w7 [1,0,0,-6591000006,-205956849489264] 2 [1509786056:-651757951888:6859] 6630w8 [1,0,0,-411190526,-3230353542120] 2 [52655313816204:-24249113301439352:246491883]
6630x (2 curves)	0	2- 3- 5- 13+ 17+	2- 3- 5-  2  0 13+ 17+  6
Curve Equation t 6630x1 [1,0,0,-657450,205128612] 2 6630x2 [1,0,0,-656730,205600500] 2
6630y (1 curve)	1	2- 3- 5- 13- 17+	2- 3- 5- -2 -3 13- 17+ -7
Curve Equation t Generators 6630y1 [1,0,0,17960,2364992] 1 [-16:1448:1]
6630z (2 curves)	1	2- 3- 5- 13- 17+	2- 3- 5- -4 -3 13- 17+ -1
Curve Equation t Generators 6630z1 [1,0,0,-21695,1232025] 3 [550:12205:1] 6630z2 [1,0,0,47905,6453945] 1 [522:12921:1]
6630ba (4 curves)	0	2- 3- 5- 13- 17-	2- 3- 5-  0  0 13- 17-  4
Curve Equation t 6630ba1 [1,0,0,-305,-423] 4 6630ba2 [1,0,0,-3685,-86275] 4 6630ba3 [1,0,0,-58935,-5511825] 2 6630ba4 [1,0,0,-2515,-141733] 2

Data from Elliptic Curve Data by J. E. Cremona.
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